Dynamic Plasticity of Metals: Course Held at the Department by John D. Campbell

By John D. Campbell

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Additional info for Dynamic Plasticity of Metals: Course Held at the Department for Mechanics of Deformable Bodies, July 1970

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Wave-propagation speed vs. particle velocity (based on averaged data from six velocity records) [ 62) 7000 6000 Dynamic Curve -en -... A. fll ~ rn 5000 ,. ,. "' 4000 3000 I I '/ /' ""-- ,.... """' .... ,.... ,.... 008 Strain (In/In) Fig. 20. 2. Radial shear waves in a cylinder or disc. Let 11 be the shear stress, '( the shear strain and T the tangential particle velocity for an element initially at r~ dius r. at while that of continuity is a, - fl. 11) r , r A rate-independent stress-strain relation gives ~~ - ~·('() *" = 't = cp('() (2.

Cr ~ 0oCg\ .... )Opta ..... : ~ r:r rn ~ C"t m g ~ "1 Chap. 2: Wave Propagation 42 0·1 Fig. 27. - __ ...... 0 -- ---- --------"'7"10 Shear pre-strain so that a discontinuity is formed. r. 2) where ~g is the discontinuity in the strain. 3) 1 Cs Equations f ~(} = 9M. 3) may be Shock waves 43 applied to the propagation of a wave under conditions of uniaxial stress or of uniaxial strain. Much of the experimental work on shock waves on solids has been carried out in uniaxial strain conditions with very high compressive stresses produced by explosives.

I 00 -- ""li -... 2 10 0 20 40 60 110 too 120 14-o t6o 'l'ime (m sec) Fig. 34. Typical curves of stress, strain and strain rate against time. [51] Another important type of dynamic test is that in which the strain rate is maintained constant. One way of achieving an approximation to this condition is to use a relatively stiff machine in which the imposed speed of deformation is constant during the test. 35). (a) (c) (b) (d) Fig. 35. Tensile test oscillograms obtained at medium strain rates. (a) Stress-time (both traces) ; total time base for upper trace 20 msec, for lower trace 5 msec ; temperature, 200° K.

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